Short note on the stability of a dilatonic wall

TL;DR

This paper investigates the stability of a non-topological dilatonic domain wall solution in dilaton-Maxwell theory, demonstrating that the static configuration remains stable against small scalar and magnetic field fluctuations.

Contribution

It provides the first analysis of the stability of a non-topological dilatonic wall solution, confirming its robustness against small perturbations.

Findings

The dilatonic wall solution is stable under small fluctuations.

Stability is confirmed for both scalar and magnetic field perturbations.

The solution's stability suggests potential physical relevance in related theories.

Abstract

A nontopological soliton solution of dilaton-Maxwell theory describes a domain wall-like solution which confines magnetic flux in its core [G.W. Gibbons and C.G. Wells, Class. Quant. Grav. 11, 2499 (1994)]. Since the solution is not stabilized by a nontrivial topology of the vacuum manifold, it is interesting to see if the static solution is stable against small fluctuations. We consider the stability of the solution in response to small fluctuations in the scalar and magnetic fields. It is determined that the ansatz solution does indeed exhibit stability.